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3 years ago

Find the value of the expression:2a(b−c)+b(2c−2a)+4c(0.5a−0.5b)

Mathematics

1 answer:

Agata [3.3K]3 years ago

5 0

Answer:

Step-by-step explanation:

2a(b−c)+b(2c−2a)+4c(0.5a−0.5b)

To simplify this we need to remove the parenthesis

Distribute 2a, b and 4c inside the parenthesis

2ab -2ac + 2bc - 2ab + 2ac - 2bc

now we combine like terms'

2ab - 2ab becomes 0

-2ac +2ac becomes 0

+2bc - 2bc becomes 0

So final answer is 0

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Gary works as a sales representative in a clothing store. He gets a fixed salary of $1,500 per month. He also gets a commission

Lelechka [254]

x represents the total sales and y represents the total amount of money that Gary earns.

Gary's monthly salary = 1500

His commission = 10% of his sales

= $\frac{10}{100} x$

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4 years ago

Read 2 more answers

What is the excluded value? 0 1/2 1

nekit [7.7K]

Answer:

excluded value is 1/2

Step-by-step explanation:

The excluded value is the value when the denominator is equal to zero

1 -2x =0

Subtract 1 from each side

-2x = -1

Divide by -2

-2x/-2 = -1/-2

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The excluded value is 1/2

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3 years ago

Triangle F G E is shown. Angle F E G is a right angle. The length of hypotenuse F G is 18.6 inches and the length of F E is 12 i

Delicious77 [7]

Answer:

Measure of ∠FGE is 40.2°.

Step-by-step explanation:

Refer to the attachment.

Consider ΔFGE. Given that ∠FEG = 90° and ∠FGE is x°.

To find the value of ∠FGE use trigonometric ratios.

Use sine ratio to find the value of ∠FGE.

$\sin \theta=\dfrac{opposite\:side}{hypotenuse\:side}$

Rewriting it in terms of x° as follows,

$\sin x=\dfrac{opposite\:side}{hypotenuse\:side}$

Now find the opposite and hypotenuse side of the angle ∠FGE.

So opposite side of ∠FGE is FE and hypotenuse side of ∠FGE is FG.

Substituting the values,

$\sin x=\dfrac{FE}{FG}$

Given that length of FE is 12 inch and FG is 18.6 inch.

Substituting the value,

$\sin x=\dfrac{12}{18.6}$

To find the value of x, taking inverse sin.

$x=\arcsin \left(\dfrac{12}{18.6}\right)$

Calculating the value,

$x=40.17$

Rounding to nearest tenth the value of angle is 40.2

Therefore measure of ∠FGE is 40.2° .

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3 years ago

katie gives maggie half of her pencils maggie keeps five pencils and gives the rest to jamil how many pencils did katie have if

g100num [7]

Answer:

12 pencils

Step-by-step explanation:

5 + 1 = 50% of the original amount

5 + 1 = 6

50% = 6

6 x 2 = 12 = 100%

Katie had 12 pencils

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3 years ago

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Alona [7]

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Step-by-step explanation:

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you also must add the 2 kilograms at the start of the year

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3 years ago